{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "生成日期和序列对照表.csv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "gold_data=pd.read_csv('LBMA-GOLD.csv')\n",
    "bit_data=pd.read_csv('BCHAIN-MKPRU.csv')\n",
    "a_g=np.array(np.array(range(1,len(gold_data['Date'])+1)))\n",
    "b_g=np.array(gold_data['Date'])\n",
    "a_b=np.array(np.array(range(1,len(bit_data['Date'])+1)))\n",
    "b_b=np.array(bit_data['Date'])\n",
    "table_g=np.vstack([a_g,b_g]).T\n",
    "table_b=np.vstack([a_b,b_b]).T\n",
    "save_g=pd.DataFrame(table_g)\n",
    "save_b=pd.DataFrame(table_b)\n",
    "save_g.to_csv('table_g.csv')\n",
    "save_b.to_csv('table_b.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由day_b确定day_g"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "day_b=100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12/19/16\n",
      "71\n"
     ]
    }
   ],
   "source": [
    "for li in table_b:\n",
    "    if li[0]==day_b:\n",
    "        date=li[1]\n",
    "print(date)\n",
    "for li in table_g:\n",
    "    if li[1]==date:\n",
    "        day_g=li[0]\n",
    "print(day_g)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "合并"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "gold_pre=pd.read_csv('GM_predict_g.csv')\n",
    "bit_pre=pd.read_csv('GM_predict_b.csv')\n",
    "gold_post=pd.read_csv('predict_g.csv')\n",
    "bit_post=pd.read_csv('predict_b.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "gold_pre=np.array(gold_pre)\n",
    "bit_pre=np.array(bit_pre)\n",
    "gold_post=np.array(gold_post)\n",
    "gold_post_cut=gold_post[:,[0,1,2]]\n",
    "bit_post=np.array(bit_post)\n",
    "bit_post_cut=bit_post[:,[0,1,2]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "prediction_g=np.vstack((gold_pre,gold_post_cut))\n",
    "prediction_b=np.vstack((bit_pre,bit_post_cut))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.savetxt('prediction_g.csv',prediction_g,delimiter=',')\n",
    "np.savetxt('prediction_b.csv',prediction_b,delimiter=',')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "测试"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1b37be5ccd0>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(prediction_g[:,0],prediction_g[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1a8daa52d00>]"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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7tFeTMG+2ing370eOWx9Or6nHAnDzjxB70pmQkhKoX7M6R3ko7JEFrmH2uOatztpNTLJbuIAHwNb8jWwq2ghA/72PJCw2sdv0MJdU2RMwl/g7+yenTyYq0p6MeeVvcEq/I5jXB5g3L0gRdk1KmEVERKRDFZblEV8JxMe3S3s1CfPy0GI8xsdUd18mDJjC0mmfcedTyyCk/jYTNT3MALuXRROaYCfTH8Zvw1UNTh9sjAPKy2mJC0dlsHHhD4R5IWW/IwgLjeg2Y5jzK/IDxwkVMGLikYSF2+9PQiVMGHkIG+Ihf9HsIEXYNSlhFhERkQ5VWFFgJ8xx7bSsnD9hXh9qJ7gp4YkAjJ54FGbUqAb1667/PCw8HZfT3mfb64S+xdDPHc5bu8HS+64Gy9rhc/s44wH4bDi8ufI9+heBGTCgW41hrpsw77cRHEdPw4v9msO9MChxMACbszOCEl9XpYRZREREOlRhZWGH9DCvi7QT1OSYXk1Vr9fDPDhxCC6HK3CeXgx9XUmsS4DdXM/CDz/ssJ0Qy8Hxy2GQM5ktsdCvCBgxgrDQyG7Xw5xQATcOOAN698bjsyf7uaohLToNgCz/6iNi09bYIiIi0qEKPSWkt2PCHBMWQ5jlZHGiF4Dk2LQm69ck2ACD0sew2lGb/iSXg4nvAyVb7ILtJu6VZ20kfGsujj0mUG5VkVoKH57+EV+u/4Yhk6Ng9GjCsiLxOMFXWdHleyLzSrYBsC3mbly3/g0Ad7X9mkOroU+MvTxfZkVOcALsopQwi4iISIcqrC5r1yEZDuNgkCuFFWYrAEmJfZusH+oM5fzkw0icv4LoWy6m3LO19lo1RPUaACVz7II6W3IXVhaS8OwA7v0GbvnBotxyE+WGcf0nMW7IPoF6YaERALg9lYS3yyvsOPmFmcRUgat37aRIT7W/h9kHaTH2Lx8LnDl2j3lYWFDi7Gq6+i9CIiIi0s0V+sqJrwJiYtqtzcGxAwCIqwRXStPrOxtjeOHyr3johY0wZAh799uboS77nhAfmOjaHmjKygKHi7YtAuDd0eCr9lKOh0ifA1yueu2HhdhpclVV7aTBjPlf4/1mJkWVRZx46zBmHjYYiovb/oLbSVbeBnqXAn1qN3q5cb8bmVwSy8mTziU8JJx0ZwL/3gu2XXtJ8ALtYpQwi4iISIep8lZRYbzEW+HgaL+0Y3ifsQCMygH2379V9zqMg3unPw5ArzLA1ImrtDRwuCjzDwAGF0BlgT1EIZLQBu3VDPlYkbmIyhnvszpvNcM+Pox77zmcHzf8wPuhGfxpyjr45ZdWxdkRNhZuZEAR0L92K/HBCYOZ/XARSU+9BMDbZ3+MZeDdpW83OQlyV6KEWURERDpMUZW9OUi8M7Jd271q6q0M8cVzg3sSNLIyRnNOGHUC/9j/Lu55I5OwkDrDDur0MGdsWQxAtBvKC7IBiDQNE+bUaHvnwClDZ3Hqmycyc+kMAO48GO590t5mOqYKKClpdZztbUPlVvoXAQMG7LDOPv33JZwQNrjKwePpvOC6MI1hFhERkQ5TWFkIQLwzuumKrTQwfiAZdxW0+f4QRwg3HXI7AHcffDdPz32aMC/1epi3FtibkxSF1UmYnQ3H9NasLAEwYySkrvgucP5bUgVgjw8OdsJc5a0iyypmQHlosxMwXTjxOLx2whza8JeEXY16mEVERKTD5JbnApAQ3T7bYneE5Mhkbtz7ens14joJ87YSe3JgUTh8ufxjAOIjExvcX7OyRI38/IZLspWEEvSEOas0C4C+IQn1Jjc2xoUTjxP1MPspYRYREZEOsyp3BQDD0scGOZKmRYXF4A4Bb1ltUru1wk72i8Lg83Uz6VUK06Zf3+De3tH1Jx3ml2az12Z4bPiVgbLSMPAVF3VQ9C2TVWInzGnhKc3UBJdx4nUAXm8HR9U9KGEWERGRDrNi7RxCvTBo+F7BDqVJkS57jHV5WWGgbJvXPp7fB77wrmBMDoSPapj4hzjqj3DNdxfRuxT6Jg2qV15Wam8akjP3e9i2rR2jb5mtpXaPeVpserN1XSYEjwP1MPspYRYREZEOs3rbcoYUQMjAwcEOpUk122eXlRcCUOGpoICKwPUKl73JCcmNDy0JMbVJ8yZHKYkVMLrfHgDsk+kEoLgsn3/NvIdenx7Et1MHg8/XAa+koY0F63nt6kPIWvgTAGmJ/Zu5w+5h1pCMWkqYRUREpMMUVBbYiWY77fLXUQI9zFX2GOaM/AwAbl+dzmCnnSTHVLHDhHnexfPYz7IT0bwIy06YB08h/7pcLr/sZQCKSnK59+f7AXh5eDls3NhRL6eecU/uxtnxs1j+ycs4fJDSu/lfXkKM0+5h1pAMQAmziIiIdKAidwmxVUBsbLBDaVIgYXbby8qtylsFwPSI8dx+zMMAlIayw81XxvUex493biA1JB6AxAogLIyEqCSiw+3XPnbg5+QYe3OT/AigoO2rfLSUZVkUVduv6efEUnqVgTOtTzN3gcsRoh7mOpQwi4iISIcp8pYSV0mXT5ijXP4hGR47oV2dtQSAoQMnkBSZBEBBBM2uLnHmbmcAcGj/gwJlNcvO+fxZV79SJwXhQGFh+wTfhApv7bCSP5LcpJUCqanN3rczY5h9mVtg9mx7Tev8/Fbf3xUpYRYREZEOU1RdTlwVEBcX7FCaFOhhrkmYN/xB71KIHbk7Bw88mEOiduOREX9ptp37jnmMTWfNZ69XvwmUTewzkaGhtWs1962OspPvTuhhLqio/4zYKiAtrfHKdbgcLnuVjFYmzFXeKpzP9eWKu6dgHo7m0ylJrbq/q1LCLCIiIh3CsiyKrAo7SYuKCnY4TQpM+qu2e2RX565kWB4wYgRRoVF8c91ixt76eLPthDpD6Ttkj3rbgBtjGJs4MnDe35FAYSf1MBdU2gmz0z+/sCCclvUw1wzJaGYM8/efPMnzNx5G5WsvQUkJ+RV2j/KTk+3rT0xuPsb5v75P2cvPNV8xiJQwi4iISIeoqq7CY3zEEdbsUIZgC/QwV1cBkFGxhaH5wNCh7dJ+uCsicJwe0ctOXDuxh/lf6+yEvSoESGq+19flcDU7JOPLjC85aN4V/DnyayLWnk/xCdModZfWqxPZTAd1qbuUPb86kd0WXATffNN05SBSwiwiIiIdoqjS3qgjzhEZ5EiaV5swV1LqLiWLEoZ5YiA8vF3aDw+12490Q1J0LypdkPnpW+3SdlNqepgnmXQu7Xscb6T/pV7v946EtGDS30+rZtY73zb/x8YT5iZ6qdfkrwFgfQJU//xTs3EFS0jzVURERERar6jKTphjQ7r2cAyoM+mPqkASN8zV/NCFlqpJmKPdkBKZDJVwW+xcXszPh8SG2223l5oe5qSoFJ664M0W3+dyuihtZlm5Zevn0r8QNsbb53lpcXi2S5gjvNjbjTeyrOC6/LVc/fCh4F94JD93E83vQRgc6mEWERGRdvPay1dz57Ex8MknrM5bDcCAxK69aQnU9jBnU87qHHs776FxA9ut/boJ8xm9pgL+peVyc9vtGY2p6WFOiGldKupyuHbcw7xtG2zbxsrCDMZvhYEhdtt5/ZIa9DBXOYHi4kafcdvMm5gVU/v6sws3tyrGztRswmyMedEYk22MWVKnbLwx5jdjzAJjzFxjzGR/uTHGPG6MyTDGLDLGTKhzzznGmNX+r3M65uWIiIhIsFR6Kzl7wz+5a89S5t/wfzw642YAxg3dJ8iRNS/CP8b4ngPh/ccuAmBQ8rB2az88PBqAGDdExSYzJWoEZS6oyM1i3YuPwpYt7fasuorL7YQ5Nrp1q1W4nI2vkpGRn4F5JpUHT0xlW0Uuvctg5hmfA5DnKwskzKH+juniMKCkpF4b20q38cgN+xG6ei0A+23wl5dsbVWMnaklPcwvA0duV/YgcJdlWeOB2/3nAEcBw/xfFwFPAxhjEoE7gL2AycAdxpiEnYxdREREupC88rzA8Z6nFvJt2WIGFkDcQdunEV2Pw9SmRG8OsHtEo2Pab0m08DB7yEeEB4iOJjEikYIIuOD3Wxm86VoqDtq33Z5VV2lZAeEeCImNb9V9rpDQRif9/brpVwBuPAxyQ6pIKoekXgMByKsuocRtJ8er8s9g3+jRdsK8XQ/z8a8fw3VRP/PLtnmM2wrPHmuvkJFdmUdX1WzCbFnWD8D2q05bQM0K5HFApv94OvCqZfsNiDfGpAFHADMty8q3LKsAmEnDJFxERES6sZolxer6fr/n4cADgxDNzgmphpCI9ht7XTMkw+UDoqNJiEyiIBxmFS0CYHHFhnZ7Vl0lZQVEu+1ntobL6Wp0WTl3tbveeVIFxEUm4LAMuZSTk2WP/46OiCM2LLbRhPnXbXMBWJUMaaXQK304ANmejl81pK3aOob5r8BDxphNwMPAzf7ydGBTnXqb/WU7KhcREZEeIq/C7iE8LCuS+GoXM7ZNpf+J5wc5qrYJ99JuK2QAhIfYbUV6gKQkEmJ6URABA6vs8nnN7yXSLJ/l4/Pnb8J6/30AvD4vi5Z/R4ybHW7pvSMuZ1ijPczZJVkATKqye98TK+ze+fERg7hvf7hpzn0ARPtCiI2IpyicBkMy6kothYT+w3Fahm2UQXV1q+LsLG1NmC8FrrYsqx9wNfBCewVkjLnIPy56bk5OTns1KyIiIh2spof5oaoDKbjbzZ+e+rrLr79c10t7/QOHf4OPjkqY4yuBlBQS4npTGA4R5XZCuioJKCraqWe8vuh1jt7yAC/+/UQAbp91O784NtubpLQyYQ5xNj7pLydvE9FV0DuqN+DfORB46ow3OJHRgXqhpRVEhcdQ7sLeInsH+pQ5cKT0IsURw1eD4bfrT8dasaJVsXaGtibM5wDv+4/fwR6XDLAF6FenXl9/2Y7KG7As61nLsiZaljUxJaWrLi4iIiIi26tJmBNjewU5krY598ibmJ5+COBPmCMimr6hFbw+e2hDXKXdbmJMLywDa0Ps3tc1icC6dTv1jNxye8WJP/y91d+t/w7A3oa7tUMy/GOY86sKWfKvW+2VMYDswi2klENUZDwAlf4FivfqN4V371jKkksW81zvP2P+fi+RNQlzeXmg3QpPRb3nDHImgcNBr9B45qbDieYdWLiwVbF2hrYmzJlAzYCkQ4DV/uMZwNn+1TKmAEWWZWUBXwKHG2MS/JP9DveXiYiISA+xbv0fACTGt8P4giCJjbTXJIho5x7mwCYu/h7Z9Bh7ZOqGGHsIwtoEYO3anXqGy+ECIC8CyM8n2lkn/tYOyQgJxeOEo7c8yNjC+/Ac9yc7zpxVpJXAbWMvZ5g3jiPOu7fefWN678aFlzwLvXoRFRFHWZ2E+dkPbuP5c8fVqz84vA8AvSLsTtIDNoDZb79WxdoZmt24xBjzJnAQkGyM2Yy92sWfgX8ZY0KASuwVMQA+A44GMoBy4DwAy7LyjTH3AHP89e62LKvhzAARERHplnyWjycXvcDETIi87rxgh9NmsVH2JiLtPSSjZhOXuEr7vF9cv3rX1yRA9aqVOHfiGXnF9rJsWTHAr78S4wutvdjqHuYwvA6Y7bTHLO+/2xw++mYGv1Ws5o6tUex28KmsOvSMJtuIjIjFHQLe0mIyizZy8aJ7YXj9OoN89hoS2Zbd0z51HZDe9aa5NZswW5Z1+g4u7dlIXQu4fAftvAi82KroREREpFvILc+lyFRx9sYEzPDhzd/QRdWsVxzWzkMyzht/Hi98/SBnue33pl9sbcI8vMDBqgQfGSt+YcROPCO3wB7t+v1AMHOP4YCNBvr7L0a1bsUPl8ue9DeoIpx1EZXM7guvzrgHKxGOG3QUOJtP7aPC7F7t8opiftn0S71r92cMInN4KgNvexiA6/e9gf89fzVn3/BMq+LsLNoaW0RERHZaZqG9GFZ6WHKQI9k5NUMyfIZ27WEekTyCnH9Ug2UBkBpdu+329K3xPJSQz4KtC3YuYS7Oqnf+Q3/7WX+ZDdzUuu23XSFheJzgKPeC//eGO6Pn0q8Ixk1tume5Rs3uieUVxazPWV3v2iHfbWDSa7VDUM6adAFnTbqgVTF2Jm2NLSIiIjvFsiz2eH4iAH187bd2cTAkhNsJc4WLdk2YAXvFEIedejkdtT20h/jn+m30tH2bbMuyyNi4kL7bLbSx12Z4/PpvISysVe1FR8RhGVgT6+VMe6loykNhaD6Yvn1b1EZUqP29UFZZwvotS0kqhxeS7aR48F/vbFU8waaEWURERNrMsiyWfPx84Dx9VVYTtbu+3tH2cmlFYbR/wrwDozbYy66V426m5o5d8eqpzHNu48oFofXKY6po9YQ/gAMGHRQ43r08NnCcUga0cBWzKJedMJdXlbA+N4MBhXD+2LPx3e4j6dq/tTqmYFLCLCIiIq3ms3z88dTtvPPqjYz7w5777/BB2j/bbWuGoKgZKlEYTruOYW7M52d8xtFl6fR95QPCCaHM6Wuw7nFLLchZDMAVV7zKXeOvDpS3ZdMSgEl9JnGwazh/W5LEX/49m3D/KN5erUiYa4ZklFWVklOVT2opkJSE6UZrc9fQGGYRERFptTcXvsFZOfeQuhbw52Pe6fMwEyYENa6dVZMwl4fS4T3MRw47iiMf3AxA1Owwylxee5OP+PhWt5VbVcApSyDi3CncPuBUluWt4H+bPrd7mGNjm71/e06Hk29vWRk4jzShVFpeUspp8QTCmiEZ5Z5yijyljKgC4uJaHUtXoB5mERERabXfFn8GwFZ/srw66+RunyxD7Q52QKcNyQCIMmGUhVJvk4/WyPWWkFwOJNuTLkNi7MR0dA6QmrrjG1vIa+wJhL12vGlfA4EeZk8ZRdXl9pJ6bUjeuwIlzCIiItJqC7IWBI4TKmDonocFL5h2FBZiT447fjkQGdlpz410hje7jfSOeH1e8iknxe0MxHzkiGkAHJd6YLtsT17ss3fo61vR8sEJ0aH22s+l3nKKrAp705ZWrgfdVWhIhoiIiLRajqcwcOyqptt+1N6Y4usLCC+r6tSEOSokot6ueC1R7avG++N3FI2113ZOdsQEkuMzx57J9IFHEuPfwrq9THANaHHd+HD72VutEjzGRxxhgVVCupvuGbWIiIgEVVF1mb1iApAdTZvG3XZVMZHxuFJ6N1+xHUWFRNpDMlrRw3zqy9MI/+5Qcm+/DoAUV+0vLcYYYmKTIaR9+kaTXfEA9Nnr0BbfU5Mwr3fZvwTEOTp2EmVHUsIsIiIitUpKWrRSQ7Gvkn021SnoQQlzMESFRtk9zK1ImN/b9CUAmavmAZAcntQRoQGw4PLFLBn8CPzrXy2+JzwknHBC2BBpL5cX5+yewzFACbOIiEjP9uGHsHJls9UAftn0C+NviKXs+GlN1vNUeyg3Hsbnu2oLW7kxhtQXFRrd5kl/h+27BoDk6JYt99YW6XF9GfN/17T67zneRLI+3j6OC2398nZdhRJmERGRnuz442HkyBZVvXjGn1mYCsv+mFlbuGYNVFXVq1fiLgEggUhuGHYu/90wscXPkMZFhkW1atLfrGWfNShLiUtr56h2XkJINAv9i3QMG9h9V1FRwiwiItJDfbvuWwZfhZ2ItUB28VYAqvzDXh/46g76PD0UrvZvhOF2Q3k5RZX2/stxzkgeOOMlTn9xjnqYd1JMZLy9WUpJSYvqH/necQ3Kklxdb+JlvL9XeXwWjDj+z0GOpu2UMIuIiPRQ18+8nnUJsNT/SX35R+/iu/SSHdbPducDUBBjZ8w3/Xo3WTHg+/knKjwVnHFVX9b0jaKoyp8wu7rvmNSuZmj6OIrCISdjYaPXvRVl5Cyfy3uPXAjz5xPtbDiBLqysqpE7gys+LB6AAUVA786dSNmelDCLiIj0UFEh/o0jQqHCU0HUgpO5dfV/wLIa1D3rkX0Dxz/28cLmzYHzirQU5mTO4c3UHI4/DYo3ZQAQ243HpHY1o3vvBsCyjfPqlf/znWu4aVoYrgej6fX2JE4qfYHlR01kqKuR5DMxsTNCbZXesfYwkeRyumR8LaWEWUREpIeKDLF7IctdULjRnvj3zEQajJPNyM/gjdJfAucP7QtZh00JnJelJZJfYfc+L+4NuUvnAJAU0317DLuaUcmjAFhWuLpe+dXLHuOBye56ZV8NsiisKuKUJWCw113+9LMEuO22zgm2FdJSBgP25jZKmEVERKTLiXLaWztPOxOyzzkJAI8TyM+vV29ept2r+UfmnwJlz6RuCRyXuSCrJBMAY0Fmkd373CdpYEeFvsvpG9uXaEJZ5iwIjGOu9FY2Wnd1EmR7i0gph42XrmL++Kc5+setENH11jmOjbG36rYM7bYmdDAoYRYREemhouqMc91YYie5HgcNEuaCygIAekXV9hg/u2ft9bKqErbmbwTAYcEjW94BIDl1cEeEvUsyxjA6cgDLU4Dly/FZPh5/9fJG6+ZEQqGpIsXjom+voewx/RIIDe3cgFso1L/VuNsZ5EB2khJmERGRHirS1CZRW/vEAo33MBeU5QGQEJfK8XH2UIytdYYnl1eVkZW9FoBqB6yPsjc2caT16ajQd0mjeu/GimRg+XKemvMUN256EYDrNvfnqz438b8xdzDB2ZeN/sUw4uj6K5OMSBph/5kb5EB2khJmERGRHspZZ25fVrKdXFmGhglz0VbCvBCRkMJ7V/1CJPY6dDVbX5e5y1i9bVnDB8Ro0l97GpQ+hswYqFqfwdd/vBcovzRkbw778z845aQ7SYjpxRb7dx+iusFW09OGT+OHfZ/n0sd/ab5yF6aEWUREpIdye2qXGcuMrf0vP2fmh/XqFRRn25OyEhIwxpDosJeL2y3bvl7mLWdR6Vpi6qxa9p3zQpjW9I6A0joDk4ZiGfh+62w+2vpdoDwlIT1wnBCZyGZ/whztH6Pe1e1/6AU4puwd7DB2ihJmERGRHqrKWxE4znTUrozxRsYH9eoVlOWSUAnExwPgcto9zAMK7etrQkrINxVMzrd7NA9bAwfe/Aw4lEa0pwHxAwD4c/jMeuXRibU7+MVHJdufElC7bKB0PH2ni4iI9FBub22XcJazPHCcTzkf//g8z0wy8O23FFTkB3qYAaqNPZajb7Fdf12onWyPqrKHYBy8DnB281lcXdCYlDEAbIyvX27qTOhLiO0VOI5yRXVGWIISZhERkR6ryluF02cfZ7mqiK6ChCoHBWFw7Ld/5tJjoPLSP7MmP4P0EmDgQAB8xu7CrEmYN4fZifcJZf2Ztf8L3Pjo7E5+JbuGlKgUbpp0TZN1EmJrVzKJClXC3Fm674J4IiIi0iS3101CBeRGQVakj9RSqA5z8sRevkCdiDPs1S+uL0mEvn0B8Pk/8h9UCBFWCLOT7fWAEyISGX/I+Z36GnY1aUkDAsfGgkEFwFG1m8jERyQEjqPDNOmys6iHWUREpIeqqq60xyYDPgfEVcG2ME+DehEemH7CLYFzn39IRu9SOCRpz8Aks4TolA6PeVeXFl07Xrm4+gZW3p0PkycHyhLqJMxR4UqYO4sSZhERkR7KXe2xxyb7xVY1Xi/b3EDfP18bOK/pYU6ohD1GHBQorzt+VjpGWkxtwhwVnUhIXEK96/Hh8bXXI+I6K6xdnhJmERGRHqqq2k1cnSQ5rvGdlol21F+e7MihRwIQH5lIany/QHlMfG+kYw2MHxg4NrGxDa4nhNcZkhEZ3wkRCShhFhER6bHcPjfhXkj12svBxVXB3pEjGlbcffd6p8/+6TlWDv0XsT/PJTU6NVBuEhM7NF6B9JjaNZfx+Rpcr9vDHBGd0OC6dAwlzCIiIt3J11/Dli0tqlrl8xDmhf1i7eXKYqtg5umf8e9Ue+Lewesg54Tf4IQT6t0XFhLG8DOvhEGD6iXMDB/ePq9Bdsj4VygBoLi4wfW6Y5jNbrt1RkiCEmYREZFuY37mPM5+6jC8e+7Rovpun4fQajhs7HEArE2AqOQ+nHn2w4xyx/HoptEkj92ryTZSouyJfunFwB4te67snC9PnsHblcfC5Zc3uFbTw+yqBvbcs3MD24UpYRYREekmznr/LF7bHVZYOS2qX2XZCfPJu50KwJTNQFgYCREJLLu3kPHfLG22jcEJg7kgcj++yJoKjYyplfZ3+Og/cfI/Pmr0/Q51hvL0qOtZXHUBpKU1crd0BK3DLCIi0k3EOe2tkDfFQks+jK/wuYnyQEJyX3Kv3EzcmWVQ9yP/FghxhPD89T+2IVrpKJec8iCcEuwodi3qYRYREemq5syxE9yMDACSnPa6u2taOPeu1Koi2gOEhZGUkE7IUI1BFmkLJcwiIiJd1IgZh7PnRcBnnwEQVm2Xr00AysubvNdT7aHKVBNNWKt7lUWkPiXMIiIiXdSqkELm9yGwvFhRZSEA26KA7Owm7y3zlAEQbcI6MEKRXYMSZhERka7OnzAXVBUBsDWaZhPmkqoSoOGmJCLSekqYRUREujqvF4BCTykA26KBbduavKXUbdeNdkZ0aGgiuwIlzCIiIl2Qz6rd5c1bXAhAvs9OglvSwxxImF1RHRKfyK5ECbOIiEgXVDOkAqBw7TLcRfkUUkmYF/IiYdkP7zV5vxJmkfajhFlERKQLKvKPVwZIGfERi6faKy/fvCIZgLc3fdHk/bm/fQMoYRZpD0qYRUREuqCiyqJ65x/HZAGwu9UbFw6qHFZgMuD21hWs45RV9wIQnZXXsYGK7AKUMIuIiHRBdXuYAcpd9p+9onrhwonHSWAy4PZ+2vgTAP0LYcDfHunAKEV2DUqYRUREuqDte5gz7U3+6BXXx06YHYDH0+i9NWsw/+b4MxEHH9aRYYrsEpQwi4iIdEHb9zDXJMxJMb0IMU68Dur3MFdUwLXXQnExZTUT/iLjOydYkR4uJNgBiIiISEPb9zBnRdt/xsak4HL7h2TU6WGe9dwtlHz6T451Oik73N7dL1IJs0i7UA+ziIhIF1RYZk/WOyE7CbDXXo6uAmd8Ai7jH5JRp4f5kIJ/Mv10oLiY0vJCwj3gjI4JQuQiPY8SZhERkS6oqCQbVzU8M+waAAojIK4KiI3FZUIa9DAHuN2UVRQR5QEiIzszZJEeSwmziIhIF1RUmkdcJUTEJQXK4iqBuLjGxzD7eaoqKKssIdoNRGkNZpH2oIRZRESkCyoqyyeuCiLikwNlgR5mR8gOV8nI9ZVQVllClBJmkXajhFlERKQLKqooIK4SnHEJhFpOoLaHOTAko5Ee5s9Wfkpp1np7SIYSZpF2oVUyREREuqCcshySy4G0NCKNCzfVO+xhtiwrcN+F0wHWEJ2MEmaRdqIeZhERkS5oizuX9BKgTx8iTCgAiRVAUhIhjvo9zOXusgb3l4YBERGdFq9IT6aEWUREpIvx+rxs9ZWQXuGC2Ficxh6SkVYCREfjcoTYk/78Pcwl834BYNKW2jae+yYKxo7t5MhFeqZmE2ZjzIvGmGxjzJLtyv9ijFlhjFlqjHmwTvnNxpgMY8xKY8wRdcqP9JdlGGNuat+XISIi0nNsLd2Kz1j0dSaAMRiH/d91WilgDC6Hq946zF9s/QmA8Vtr25i2x6lgTCdHLtIztaSH+WXgyLoFxpiDgenA7pZljQEe9pePBk4DxvjvecoY4zTGOIEngaOA0cDp/roiIiKynS3FdldxemQvAGIj4gF/DzPYCXOddZjfz/oWgL2OuTjQRmS4Ni0RaS/NJsyWZf0A5G9XfClwv2VZVf462f7y6cBblmVVWZa1DsgAJvu/MizLWmtZlht4y19XREREtrOlxJ8wx/UDID7WTpyj/KvIuZz1e5ixLMZnwf599g60ERmhhFmkvbR1DPNwYH9jzGxjzPfGmEn+8nRgU516m/1lOypvwBhzkTFmrjFmbk5OThvDExER6b62FG8GID1pEAAvHv8yJy43TDn4LABCnK56Y5g91R5CfBAdHhtowxUR3blBi/RgbV1WLgRIBKYAk4C3jTGD2yMgy7KeBZ4FmDhxotVMdRERkR5nS3YGoV5I7jMUgOFJw3n3LV/gusvpqrdKhtfnxeWD6LA6vcpaIUOk3bQ1Yd4MvG/ZCz/+bozxAcnAFqBfnXp9/WU0US4iIiJ1bMleS58ScIzr2+h1lzO03jrMHp8HVzVE1R23HBnZCZGK7BraOiTjQ+BgAGPMcCAUyAVmAKcZY8KMMYOAYcDvwBxgmDFmkDEmFHti4IydjF1ERKT7sxp+mLombzUDC4GhQxu9ZfseZo/Pg8sHztDw2kqhoe0fq8guqiXLyr0J/AqMMMZsNsZcALwIDPYvNfcWcI5lWwq8DSwDvgAutyyr2rIsL3AF8CWwHHjbX1dERGSX9fnyGRxxtoPqe/8eKLMsiyVl69gtGxgxotH7Qhr0MHtxVQMhdT44biQRF5G2aXZIhmVZp+/g0lk7qH8vcG8j5Z8Bn7UqOhERkR4osySTV66dyi3pK2AorH36XobdehsAF796MiUOj50w72BYhSsk1J70F+hhtscw43LVVqqu7tgXIbIL0U5/IiIiHWUHSeuNM2+wk2W/ZcPiA8efb/gGgOOveGKHzbpCQuutw+yx/D3MdRNmn6/Re0Wk9ZQwi4iIdID1GXP5eVAI1oUX1K6X7BfqrT9cYpnJ4+fvXuX56w5hs1XIY7MT6HXu5Tts2xUSWm8dZo/l72EOCWFq9QBOWoom/Ym0IyXMIiIiHeCg949lvwtgSPSL8Mor9a55yuwt+3bfCmHVhgVJHvb7/hz+HDMLgLHRQ5psO8S5XQ+zr7aH+eubl/POPo/Bqae2+2sS2VUpYRYREekAGyqyAFiXAJSU1LuWVbSZKZtgwRk/MCSiD99st5PBkPhBTbbdOyYVjxO2uQsA8FBdO4Y5IgL++ldwOtvplYiIEmYREZEOMCmidkk4q6wscOyp9rC8aA1ppUBqKqkRKeRtN3qiX179IRzbm5A+EYA/ilfabVrVDVfJEJF2o4RZRESkA5R5ygPHxYXbAFiw6gfuuP8ItlDMUdWDYMgQUmP7ABDlhhur9+aATQ6cV/21ybbH9bUT5iXLvwf8CfP2q2SISLvRr6IiIiIdoKC6FKcPqh2QX7SV6op89njzQAD6FMOFx/8dHA5SE/vDJhieB/cffwcccUSzbcf4t8CuKMgB/EMytl8lQ0TajXqYRUREOkCBr5yh+fbxD3Pe4b4Prw1cO3QtmIMPBmDCoH0AKHOxw41Ktuc09vhkD/aydR6rmhD/Khki0v70kyUiItLOKjwVVBovQ0pdrEz2cO5xEL/oFfDvXL37NiAtDYCjhk8D4LgVQP/+LWrfGEOo5cRtqsGy7B5my4Ax7f9iREQJs4iIdFMrV8KAARAeHuxIGiiotFevmFIUw2fY3cyF4RZ/W96L30dEce7ZfwnUTYxIZOsla0g6tRIcLf/g12WceBzVWF4v1cbChVbFEOkoGpIhIiLdzu2fX495ayTWFTve3COYCirshHl4dTyemysC5X/tdSxf3LWWxEuurle/d+/BhIwc3apnuHDgcYK3qsJ/roRZpKMoYRYRkW7DZ/nY8vbz3PP7wwAUz/4hyBE1rqaHOSEsnpDQcJ7Z/wEe3bwbiTfe2W7PcOHE7QSPWwmzSEfTkAwREek2znn+GF7P/Dxwvq1fInFBjGdHanqYEyOTALj4kBvgkBva9RmhJgSPAzxF9pAPl1HCLNJR1MMsIiLdQrmnvF6yDLA1vOkNPoIl0MMcldRhz/Di48UJ8Npp9lAOl/5LF+kw+ukSEZFu4fPVnzco21aRG4RImpdfngdAQmzvDntGtlUKwA2H2ecuow+NRTqKEmYREekWNhSub1CW5clvUFZQUcAN1+1O1cMPdEJUjSsoyQYgLj61w54R5k+QK/15soZkiHQcJcwiItItlJQXNiibHVcK69fXK7vuq2t5KGYRn7x4U+cE1oiCgiziK8CZnNJhz7Bq/vQvvaweZpGOo4RZRES6heLSXKLc8GvM1VzjmchZ0fvw9WDgm28CdUrdpby44CUAe+e7IDknah/+8wn2OtEdpNqq/wLDXF1vPWqRnkIJs4iIdAvFZfnEVMGUpN155O9zGDNpGtnRULZuZaDODxtql5krrMkfZ82CjRs7NdY988I4ZSkdmzBTP2GOCYnqsGeJ7OqUMIuISJf1/heP8fDZQ/F+9AElFYXEVgExMQCkx/UD4Ofsecy+7jTIzCS3vHYSYH5SBK8tfA3zwyEUTmhiU5CionaNeVXuSr57/R57yEQLt7puCyswKMMWExrTYc8S2dVpwJOIiHRJGwo3cOLsa2AI7PvKfRQf4iTGTW3CHJsOwBHp3wJgXVRK7i0HB+7Pp4JXf30EgIywMiY28oybXjqTwvf/y78v+gCiY3AddAgYs1Nx3/nGn/l40ho2F40jLixsp9pqjZjw2E57lsiuRj3MIiLStVgWvP468zb+FijaVplHSVWp3cMcayeG6THp9W6ryM4krygLpw8SKg0F4RBabV8rDQU8ngaPemDjf/nPRDj60zMI/eFQvto9GioqGtRrqa2lW3m74CcuXegi7pd5bW6nLWLCu+IWLiI9gxJmERHpUn796Anev+//WPBY7c54m8oyKa4qrjcko59/SEaNDd5ccgsySSqHJF8YeREQ6rbH+V5wLIy7KpTqp59q9Jlfp9lJ8oN7lMOyZW2OPTU6lflbp3PdyiQI6dwPcWMi4zv1eSK7Eg3JEBGRLmWfhVfCqQC1E/WuPKQKPJsYV6eHOdIVSR8TS6ZVDMBZkzYxb/WbjC6H2LgYciMrCa20e5XXJtrtZM6eSb9LLwPAsmrHAEdXQWkYlIQC+Q3Xdm6NcfkucMXvVBttER2V0OnPFNlVqIdZRES6jbMip0B67VCMYVG1k+rm9bH/TC+B1Pi+bI0GZ3n94RUbSrcEjkvdpbXH/qHGeZFAXt7OBVlSEugF7ywOH0REK2EW6ShKmEVEpFsoivo7R7z2S71JecNSRtarc/eCBF4+6XVS+41mazSUVNq9z+Oz7OvrSzcH6maWZNa7N9wDud00YY5xg+nkZ4rsSpQwi4hIl9LbaU9euzF7ONvOXcrdwy/mia9DiT3tnAYrWIweshcAgwrgpdJD+dszy+lz7JmkpgwkNwpyrFJOWgq/XL0EgPWeHNYXrOP7R6/kkTcur9fWyLIIisLBm5u9cy8gGAlzFRAd3anPFNmVaAyziIh0KSmOGCYuL+L+uz+DAUP424Bn4PRnGq07stcYACZvgXPfmRkoT423JwSuifFwSCVEpKQRRzh/O6CSvz0+uPZZZZDj3+9jjC+RBWwhvyCTXjvzAoKQMEd4gfj4Tn2myK5EPcwiItKllPsqia8EIiObrXvYkMO4IfRgHkw5o1758KThgeOUciA+Hq+x2N4h62qPj422V2qes+FXe2m7tgpCwuz0AYmJnfpMkV2JEmYREelSyn1VRHqAiIhm64Y4Qnjg5m/p/9Qb9cr3H7A/DssevpFSBjgcVFi16zDv41+AY0IW3DrmEm5elsRx5z3AYEcyFw9eSsUz/25T7HM3zcaTn9spCfPSY79k2ir72GmhhFmkAylhFhGRLqXC8rQ4Yd6REEcIqaF2AplSZpf5sNdk/s/H8PlF3zP7hM+59rU1/P2kp7nvf7mEDh3Bbcc8wJZYWDf7y1Y/M7Mkk4Oe349rjgBSU9sce0uNjhnMX2bbx04fkKBVMkQ6ihJmERHpUsott50wh4buVDs1W0WnlNvnxw2eBsAFCVOJ3esAJo89EuegwfXu6R83AIDcsh1P/Pvg5xd44JR0Cp79FwDzMucx9aoELr11PB6fl6sSj4LLL9/h/e0mOZm4KvvQaaGEWaQDadKfiIh0GV6fF4/xEYmrwYoYrRUTlQAl64h22+f/Pe0dcmd+iPOqo3Z4T3JkMgC5FTteWu6Ery+EMfDD93/l0wn78n7+O3ybWAjADfMiGPrqf3c62W+R+HjMrO/gjYNwVQPh4R3/TJFdlHqYRUSky6jw2BuNRBjXTrd18wG3AjBs4AS7TVcE/Y4+vcnVJGoS5jx3EQAlVSVMuasvnxw1BHz2kI40h73s3dw+wPr1ZG3NAODYVQ5uPfeFTl2tYsKgfTh7Abz6Qac9UmSXpB5mERHpMso99viJyJLKnW7rhFEnYF2WDddHtfiepMgkAHKrS5mzbCb3vHkps0O28JcRcMzcuViTJlHks2OsCoFvl3/GS773GZ0NH132A+y7707H3Roup4tXHlsH27Z16nNFdjXqYRYRkS7jyS/vASCy0tc+DaaktGh5uhrhIeFEEcqiBDf7/u8IPg5Zg9MHG+Jh/uM3U+oupRwP8ZVQFA5TfS8BcOR6J4wa1T4xt9bAgbDXXsF5tsguQgmziIh0GctzlgFw1OWPBS2GAa5k3hoLHofFopyTyLu5EBdO/ps7i3kZPwCwR1FtEr4l7Bbu/7BMy7qJ9GBKmEVEpMsoqChg703Qa+yUoMVw4JCpAMRXwNjdDycuPI6948bwzUCL+968jDAvnJ54IADX/gJ9Lr0BlyssaPGKSMdTwiwiIl1GQVUhCRUEdZvnQ8YeC0BhBDBkCADT9zyDBWkw07WRK+Y5ueCWd/jt4Dd46N8rIS4uaLGKSOdQwiwiIl1GgaeEhEqCuqbwQQMPAiDUSyBhPnfSRUxy9ie91MGZE87FERnFXgecgRk+fMcNiUiPoVUyRESkyyjwldk9zEHstU2OTOahUVexz08boF8/ABIiEvj9tg1Bi0lEgksJs4iIdAk+y0eRVUmC1xn0TTiuO+WfcEpQQxCRLkRDMkREJDiKiuCLL2pPK4uwDCSYli8DJyLSGZQwi4hIUOx2f3/+9uBRsHEjAMVVxQDEOiKCGZaISANKmEVEpGPMnAllZTu8vDS8mL8fCGRmAlDqLgUg2qmEWUS6FiXMIiLS7rYt/o355xwOF1/c6PUKT0XtyebNAJR57OQ6OkRDMkSka1HCLCIi7W78p8ew58XAsmWNXs+vyA8cW2vXApCxaSEAUa6oDo9PRKQ1tEqGiIi0u61VeQBYDoNp5HrdhDkp/0Zeeng1Z5Y9DyhhFpGuRz3MIiLSYcpcjZfXTZgLIuC2jS8HzqPCojs4KhGR1lHCLCIiHaYo1Gq0vCZhfiJrDwCWJHkD16LdHR+XiEhrKGEWEZEOUxzqw7IsFn/wH3y/z/YXFpNdtg2AvUIHN7gnqqK6M0MUEWmWxjCLiEiHKQq1uO5/5/Poypf55r4kPjhrIkv++JLyhGhiw2HC6KmcUrqJsz5ax7GH5gAQVe4JctQiIvUpYRYRkQ7zRshy3lyxGgystvJ4ovBLGARQymFrwHHyXvxvwqVwHXCXPT0wrFIJs4h0Lc0OyTDGvGiMyTbGLGnk2rXGGMsYk+w/N8aYx40xGcaYRcaYCXXqnmOMWe3/Oqd9X4aIiHQVXl/teOQnJnjIM/aay18OrV/vjvQzYPz4BvebKg1iFpGupSVjmF8Gjty+0BjTDzgc2Fin+ChgmP/rIuBpf91E4A5gL2AycIcxJmFnAhcRka4puyy70fKlKfafty1PwXvSYvb9xxvgqP1vaOYJH/L37xxw222dEaaISIs1OyTDsqwfjDEDG7n0GHAD8FGdsunAq5ZlWcBvxph4Y0wacBAw07KsfABjzEzsJPzNnQtfRES6mkVb7Q1InD6ortMtsyrZ/vPm4RfgHLNbg/sOHTudQ2dpwp+IdD1tWiXDGDMd2GJZ1sLtLqUDm+qcb/aX7ai8sbYvMsbMNcbMzcnJaUt4IiISRIvW/AJATuL9pBHT4Hpkr0b/+RcR6bJanTAbYyKBW4Db2z8csCzrWcuyJlqWNTElJaUjHiEiIh1offYqksohoc9gQl3hDSvEx3d6TCIiO6MtPcxDsOc4LzTGrAf6AvONManAFqBfnbp9/WU7KhcRkR5mW3EmvUuBXr0IcTay1Z9pbLNsEZGuq9UJs2VZiy3L6mVZ1kDLsgZiD6+YYFnWVmAGcLZ/tYwpQJFlWVnAl8DhxpgE/2S/w/1lIiLSw2SX59CrDOjVi7/sdj771pkaPv8Z4JRTghWaiEibtGRZuTeBX4ERxpjNxpgLmqj+GbAWyACeAy4D8E/2uweY4/+6u2YCoIiI9CzZVfn09ifMV027h59uWsXas+ezKuNo9liSC65Gep1FRLqwlqyScXoz1wfWObaAy3dQ70XgxVbGJyIi3cy26mJ6lRtI8K8eOmyYvVfJa58GMywRkTZr0yoZIiIijfFUeygyVaR4w+qtsSwi0p3pXzMREWk3pe5SAGJMWJAjERFpP0qYRUSk3ZR5ygCIcihhFpGeQwmziIi0mzK3P2F2RgQ5EhGR9qOEWURE2k3NkIyoECXMItJzKGEWEZF2UzMkIzokMsiRiIi0HyXMIiLSbgJDMkKjgxyJiEj7UcIs0k14fV4e+McxfHnYYNi4sfFKv/0G5eWta3jpUrCsnQ9QhDqT/pQwi0gPooRZpJv4cMWH3OT+lCP3W0fBQ3c3uP70jL+x33N7s+6g3Vvc5lOvXMEtV+0Gr70WKMtY+Ss5d9/EpoIN/OeuP2H9/HO7xC893xcfPcKyf98OQFR4TJCjERFpP83u9CfSI1VVQWkpJCUFO5IW21i4IXC8eNM8Dtju+qur3uG3/vD2ygxurKiAiOYnXV2+/knYH+5dvgzjLxv21j72weMPAJB6wSdMX+4DYxpvRASwLIujFlwHqfa5EmYR6UnUwyy7nOyybMbfEMu3+6QFO5RWyS3YEjg+buQCljx8Q72hFCVVJQDMGgTMndtse5uKNtW2nb8ZAHe1u0G9r4YABQVtjFo6gs/yUfLFR5CdHexQAvIr8uudR0fGBycQEZEOoIS5hYqrirE0zrNHePjTW1mY6Ob1UR67p7mrK7ET4byiLHqVQqTXQUEEXL3ooXqJcZbXTmp/6g+eH79vttmNRbXjoFduWwrAhjq92DXWJQAbGpZL8Fz36ZXEzj4O9/Rjgh0KlmWx7acvyFw5J1AW5oWIxN5BjEpEpH0pYW6GZVlcOONC4u6P48XrDoHKymCHJDvpi1WfAeB2Aps2NV05yF5452aenBoLM2eSW7yN5HJYPPrfXN7nOL4eAsUfvAVAlbeKfCoYl+2gLBTmLfy82ba3lW0LHK8oWU/RlrWs27w4UDY2zx6xtT4eJcxdzGPzngRg08bFzdTseP/65VFSvzmKn647JVB28++hOM45N3hBiYi0MyXMzciryOOFP14A4JeM7+Af/whuQLJTvl80g8XVmQCsiwfWrw9mOM26cNn9XDEN7rr3cH7f+AvJ5TB4wHim7nc2ACs3/QHUJr9/2hYHwMLClc22va20NmH++7hC4p8fwkuP2u1uKb+URf9yc+3ul7I+Hqwu/j7tqtanhgf1+WXuMq7++joAZiXZn4TMXXc4d7yfD8nJwQxNRKRdKWFuxvrC9YHjonDg8cehqCho8UjbWZbFRe+fz+B8OC1+PzISgbVrgx1Wi9x5MGwOqyK5HEhOZkTyCAAmD51F7uvPBr5P9zX9iSaUV/vm0fsWF5v+cjaV3krm/fcRWFk/ic4utMctjyoOY0O8XfbW4DKG5EOfSYeAMQxMG0WFC7ZtWt5Jr1Sa46n2BI5/6e3Gs2l90GKZsXJG4PidMdCrFMYddApERQUtJhGRjqCEuRk1YzqTy2DT2P5QWAjnnRfcoKRNcspzWGXy+EtGIvvsdTLZ0bB2UfNjfYOlqNL+xSzRv6zygEK4cfh5MGwYQxOHBuo99fzFZOSuAmB4yihGh/fnl/6QHeblk99e45k5TzNx9XX878SRUF0duG9b3kaSymFcaL96z52+ygEH2GtwDEoYDMCDq1/WL4pdREZ+RuD49r3Keez0QeD1BiWWVZsX1Ds/czG4Tjk9KLGIiHQkJcyN+H3L74FkZUORnTDvvwnWhZVj3XkHfPABLFgQxAilLWp6YQeHp7Fn+kQAhqT8F/f77wQxqh2rSYyeXjEE6w6L9Y9ZTL7nRTCGUGcoa079hVFVsfzYH1Yv+Z6QahgwYBxXH3BDoI3VSbByrT0Z693RwOrVte1nLWVAIQweNKHecx+a9k/o1QuAgfEDAXhsTzfFl55fr57bW4V73u/t+6KlPssCn69e0dIce4LmZVl9AfjfGGD+/M6ODICMzYvoX1h7PnkLEKktsUWk51HCvB13tZvj/3c8o58azZr8NawvXE9MdQjHFvQmpzyX/xuyiPwIQJs5dDs1nxYMSBjIpD6TGB82AIC7Xr8Q8vKCGVpDlsWrsx7DVQ3773Vyo1UGj9ybg3Y7ht/6wqdLP2RMDoTsvgen7f1nMk76geGeOL4ZBM9kvAnAH2lw7ev/x3GXJuD74nPmFa9gQhb0H7kXAFfMhs2jn8dx2eWBZ9QkzABvFP1IdVlp4Hyvh4Yz+fm94MMP2//1C4WVhZx4ZW82TRxWr3zJ5vk4fPBw3wu4YffLWZgK81+6LygxrsxZwbB8ODP1cAAmVCYEJQ4RkY6mhHk7oc5QPjj1A/Ir8nng5wfYULSBAWUhHB+yGwBvrPmAu6aGQEZGMy1JV7Lk27f445k7ABiQOhKX08X8G9dxVPwkXhlUDJ83v6pEZymqLOLY69J5POMNTlvuIO3i63ZYd9ywfSkNg8VRpVy2JhEOOwyAIWP257DdjmVRam3dNYnwqGsuH6UW8t5bt5NPBROqErlwvyt5MvZ0Hj7uSdJPvgActf8sRIVG8cmERwC4bHIOr5w2EoCCigIWuDeyMBWyPu+aPfTd3VdrvuL95BwuGr3WHgrmt2TdbIYUQMSY3bnpiHuIJYz78z7a4Uom6wvXc8cNk/C++3a7xlflrWKheyMTCiN4/vwP+XrQHQz/8Md2fYaISFehhLkRk9MnM7HPRJbnLmfB1gUMyPUSN2gUY1LGAFCUElPvo23p+sb+eDr/SF5O71KIH7UHAMYY9hl7NFtioXxN15jUVlWUz/9dPYCPY7MAOMfs0eRuhGN6jQ0c75uyJzidgfMJww8MHH/ybhgXxRzMwGL7R/5xl/0R/ujYwYQ4Qrjs6v8SdtFljT5j2p+uYfaxHwPwi2ML6xbM4os5bwaur8jpGu9dT5NXngvAvD7Ad9+Ru3kVlJWxNHc5u2UDY8aQEJHAmaNO5ePh4Hn/3UbbuXPmrdwdNZc3/n5qg+EdO2PhtoW4jY+9okcQ7opg6tl3wpgx7da+iEhXooR5B4YmDuWnjT+xsWgjaQVeGDGCH877gfSYdFYnO9TD3I3U3XBm3DZgt90C58N6jQJg5cYFnRxV487/1yF8nFo7uW68aXo3wnG9xwWORwzdq9610b1qk5dpVz3Bf675lnUPeRjiTOGnvnbiNDy1ZQnO5D2O4dC4PfjvWBj80SGcMat22EahW5MBO8L6rBUA5ESBWXg8KS+M4KrzUlnhzWJStguGDAFgv92OptIFixbNbLSd/Bx7g5oZI4AVK9otvpqdIodF9mumpohI96eEeQeGJdaOG7xyNrDHHiRGJHLo4EPZEuGxlyNrbmb6jz/Cww93bKDSrKrq2t38dt8KjBwZON+tl508T+j/GYuuPbOzQ6tnbcFa3vQtZGJuaKAsaVDTCW1ceBy/Hv42H67di5DTzqh3bUTSiNqTNH/i7XDgCq+dlJXav+U9ghMH70eFq865f6fuQk9p4zfITlm18Y8GZY+Psd/rY5P3DXyaMLGPPYF14baFDepvLcnih232xMyf+oP1yy/tFl9ehT3uPzGmV7u1KSLSVSlh3oETRp0AwHFFaYzNc8I4uycvJjSGkpBq8Hia3yXugAPg+uuDtuST2ErdtQndualHQFhY4HxMrzEcEDUagOVf/rfTY6trcMJgZi/bh29/H82Ci/7g69Qb4M47m71vyt4nM/2V32DUqHrlCRF1JmDFxgYOHzjsQSbkhPD5F8mY01u+BNjBY+pvw7yff2ftQl9ZoKx69So8xYVk/fEDlJe3uG2pL7Mkk09yf+aKheHknrGQy3v/KXDtncWjGPNk7XjklKgUAPK9xYA9vvzPN4zirWuPIO3RPhQ53JxfPITsaMheMjtwX3FlEZlfvgtud5tizC/NASAxvulPQUREegIlzDswMnkkC4+awQvPZNlJb0wMADFhMRRblVjQ5Dhmn+XjiqPh9oOh+KnHOidoaVRNwnz9wijGvPxZg+vvXDoLgNz0+B22sWDDbF67bD9Y3LFbEU/a5CMmLoXd08Yz9eIHIHzndnL7cuK/WPj9aNhjj0DZsbufwrwnPBz5aw707dvitvbvv3/geK/NcNGAEzAWFFoVYFm8u+xdQv47gvS/J9BnxoF4rvpLoP6a3NUsfuVB+xdNadYnyz7AaywuSZ9O0rBxPHHJDM5MPoSbf4STHvwEUlICdaNDozEWFFmVYFk88usjPB+1gtNjvwrU+dP4UwHYkr8esIcpDX2oH+m/nQzPPdemGPMLswj3QGRi77a/UBGRbkIJcxPGfb2YxArgstrJUDGhMXitaqpCaHJb5S3FW3hyMtxzILzw5g07rCcdryZhnuROqbcCRI3EiEQA1oWU8tArF+GdN6dBnT1ensLZvX/G+mcH//KTnw+Jie3W3OHTrmTct0shOnqn24pwRTBz2v94eeVofrtmGaP+8x6xJpxClw8qK5m73v64P8e/ydv7m77kmduO5M2XrmXok8MZt/5GePbZnY5jV/DNgg/oVwSjDz4lUPb65d9w30wfDB5cr67DOIg14RS5fFBVRXFp7RKJ0zKjeW3teNL3PgKAzSX27o4fLn6HHJ+9lfXGRU2vbGFZFovmfIJ7Uf0hInlFW+1/H9vx+1VEpKsKCXYAXdp559n/OfWrndQSE2b3NJdEhRDeRMKcVZoVOC7auU5CaaNt29YSNuNTyo7YE4DokMY3VAhxhJBIBI9MroD1zzH63ueYtqp2ouC20m2B47LkOHY+9WxCOyfM7e3QiafAf2uTuHhHJEXhlVBURG7+5np1T9t7C7AFNn5ZW1hVhTRvce4yJmSBGTeu/gVjGq0f54igKKySXxd9xmu/Pw/+seYf97kOc8cdZJZkArDakw3AO3NeCtz77aYfOLeJWG5/93L+vuxpHpkVyjXflAfGTueX5dgJc4LWXhaRnk89zE1JS4PTTqtXFBPqT5gH9mmyhzmraEvgOC8CjWOuo7iqmMev2Zeq22/p0OcMe2Y0CZlXUvL26wBEu3ac6uZTETh2O+tfW7K1djJVTsEWWmNb6TaG3pnIl2dMtndta4rPB7m5XTph3l5CSAxZ0VCRu5VX1rzXaJ1zN9S+Hm+5JgjWqKooxbtkEUVF2Zz8wJ7879yJUFKCu9rNas82xuQ5YdCgFrUVFxJNcRjs8/mJFLpq/60xY+1lB3tH2cMmrpuUz+J7r2Rt/lqmroUBnijeSciCZcsabbfSW8nDS+1PBX5MddcbhpZblktSBU0ueygi0lMoYW6lmh7m4oFpsGbNDutlbbOXnYv0Gvsj6pKSzgivW3hryVtcFfcLN//+jw7bYc+yLEqwezO/Wv0FANH+v7vGRJvajwGyo2rLP1n+EYe+cUTgPKdka4tj8Fk+LnrtZNaYAk7vP8deNaWJulPuGcCruxPYlro7mNp3f74dBNPePxEvPkK9MD/+Jv4v6WAALpkDLz27jfsPuBuA3NyNwQy3y/hg5r8JfzAG13u7E//P3rxbOZ/TBs1j9l+OZ1XeKrzGxxhXn3rrajclzhVT75Osxz+DzD3egOOPB8DpcPLexIeI9MD+pf9mdvkqhuTDEYMP59d+YO1g59Kl2UupNNWEeWFOOvW24M6szKZPCbUrsIiI9GBKmFspNsxebaBkcLrdK7ODXsOsvPUYC8ZUxJAbCRQXd2KUXVtusZ10LkilyV76trAsi80/fcbW378JlD3UZx0A0QU77t2ce8pMFi6zN/rYllC7dtoLvz1dr96nnmV41+34F6Uald5Knv72AWZk20lycRhU/jhrh/WzSrKYzWbKXMC55zbbflfx1+n/ILHaxSxrLQCTMmGP0/7Kq1d8y8wDX+D+89+AkBCG9rZXIskual0PfU9kWRYn/HJlvbLR2RBbHcJLed+wdK29ksWYlNEtbjMuLJaNcfbxpXPgL18WkHbsGfWGcJww7ToePuSBQGI9uNjB2DEHUxABWct/b7Tdn1baEwfPKBvMllgoXbk48Bq2eAtILwZSUxu9V0SkJ1HC3Eq1QzLSoLQUNjbeY5ZVtIWUMkgNiScnEijqOZs7fD3nLd7cPx5mz27TqgebslYCUBoK5OS0a2yPfHor/b6ZxiN3HNbgWsy2wh3eN2Lkfoz733cAPLGHh+zVCwDwlBUT4YFF/f8BwN1j87jtoqENflHaVrqNP907hksv6Yf3u2+Z8tgYrvjpFhw+eCvxIqodsHjF9zt8/toCO+Ec3G9svSXgurq+sX35+cJfua50HM/n7M0Hh78Ave2P/w896HziTrDXhu4dbZdtLFHCvK5wXb3zR5b25bvpH7Bvyp782B+Wzv8chw9GDJrU4jYTI5NY4x/5sl95MsTHN1rv0kNqJyDvvS2U3XrbQzaWbLZ7jl/88h88d/nePP3wqbz90X389YdbGJUDR4yzl9nM2LSQt9+8jRVP3U2VqSbdigaXq+GDRER6GCXMrRQXbnfjFKTG2wU7WFouqySLtFIYFtmXRalw82PTesywjMM+O50zDi0iasYUrj8hutW9xBvz7ORwWxTtnjC/t9weR/vI3vb5kVlR3Lo6jVdcJ5P6SuNjbOsaGZJGThRcc9MekJ3N+pJNHL4GRk2eFqjz+VDq/b27y4p5ed7zfOJdxjNpm3F9P5WF5fZrfPhrw36nXo+x4KP8X3e4NnEgYY5v2ZjVrmTooD156KGFXPDEL6Scen6jdSakTSDBF8YbjqXt/nfenbir3Xz/21uB8zfeg2veXE/K4ccxdex0lvWCe3LeY1AhhO+5144b2s4Ve1/FoAI4fTEcd+79TdY9e+iJAOyz9ymBjXuWFGewpXgLF/x2Cxf1+o3Lyt7mwtm3MioHfj/gNUYcaW/q81b1Qk5ddS+jc+8EIN2jGc0ismtQwtxKfWL6AJDp9Cc+hYWN1suqzCGtBO4aeB6HrYEXkzfDp592UpSdozwUPhjshgULWnyPZVksK1wF2GOFrezsdo1pS2VtMmYs+DDtav7+eiZn3/I2jGl+V7sZp37AwPJQFvUGFi1igzubAYUQMmAQ/9fP3rhjUSpsee1JsCz+/cNDhD0cx4wPHsBVvV0shRfw10/zSe81lGnJe/PSyEp8773b6HPX5mfg8MGA1JGNXu/uIl2RnDL4T3wy1If7o/eDHU7Q/LjhR87//Vbi/XNMJyeODYxTPnF87SYyl/8OHH54i9udPPow1l63if8+uIbIsy9osu7zp71J4dSvCXnmWZIjk0klhj8ii/lq8Yf16pWEwV/X9iL6hNMYnjScSCuEf/bPrFdnn/1avvGNiEh3poS5lWLDYokJjWGzr9AuaCRhrq72srJkHWmlEN1vCPtthOxoqNra/T+Ozq/IB2BQARwYMpSsaLA2bGjx/UtzlrLel8+wklAqXfBa/iz63OCk6uEHdjo2r89LZnVh4Dy1FMIGDdvxDY0YNnQvTtn7zyzuDed++mdKcZPuDoXoaF4+7yP+t/+/AOgb8jjf3XAyV86yP+L+JaGEo+p82PDjK0763P8kxv/R+On7X0ZmLHz20cONjns/tdchvP4+hPYb2Kp4u5Npe/0fpWHw2jeP2iuC7IIy8u1vkoWrDiH7wpUM/bx2572B8QNZNP0LVo98iqv+uwZCQ3fUTOP69m2wRnNjXE4XcftNDex4OT52OK/vDud/fQWuang795BA3fMPuhpCQoh0RXJyn8Ps9eeBi1bFkBlzJ+l/f7x1MYqIdFNKmNsgPTadLR47cawZm7zgq1c557x4Nn3wCic9dRCloZBSBuy7L/0OPwmALTnNTxbr6jYU2snxw+uGcfzUyykPhbzNq1p8/9zMuQCcZtm9veeEfkpWlI+se29qUzyWZfHy/25m3X3Xk1W0hWpjsUeenWiEeYGBA1vd5p5D7R3tXolfD0DvCrsH0GEcTNvvAk7Enox1cHT9IR6H5MYw89RPOb4wjb0fe6feFtzHjz6R4Y4U7kxaDLMaTv4bXRbJ6Uuot+Z3T3P08Gns6ejLk3GrYAerMvR0GRsXEOaFvlOPJyV9OERE1Ls+dvwRDD31UhyDmk9828sLZ73NMd4hAIzIheOPuCpwLWT8hMDxtH3PDRz/59TXSbvmjk6LUUQk2JQwt0Hf2L5sLt9q7xrn72He99cLeXVgEf0XncuH+XYycOF8IDSUfqddDMCmwu69pFa1r5qsJb8CkByeyOAE+z/ZT9Z/RVlVy9bXXbHpD1zVcHLKgfXKC9o4FPKr1Z9z3or7Gex5mJkPXATAicXpAPztB2Cvlo8DrXHi6JM4g9oNI1ILate1jQqN4t07lnLr5Osa3HfS8OkcOvJo3n8sE+f04+tdi3BFcNKe/8eCVCj/pZHJf5s22X/24ITZ6XBy6Ljj+CMNRv3vAPJfb9uWzN1ZRtZShuSDY/iIYIcS0CdlMGeecg8AB6+HkCn7sK9jIHd8B9TZOOXwIUcwsSqZb96PgaOPDkqsIiLBooS5DfrG9mVLyRaIi4PCQqp91ZRTf7WIg9fBsF9WAJAWba9TurWs5Wv4dkXTn5/KtF8uByApMonDhhzGaFI4b7cMou+PYfPtf93hvSVVJUy4tz8PzH8cC9htxAGkWLU77+U1vglfk3yWj1vfvTRwfpdnJgDnxuxP7km/c/776+r18raU0+HkjTsWEmrs2f+9CxuuBDKuv72Cwc0/wiASmJAJ6Wde2qBeXVOGHES1A2b+8W69YRkvfXov1794Gl4HPTphBhg5wN51cUUK/Pzuo0GOpvOZ0jLGZgPDWjdUqKOdNOZk3htyC49c9RkkJ/PTrWu484OCekvGxYXHMefv2zhkTi6EaJNYEdm1KGFug/SYdLJKsvDGxzI3dxFfPnwJAMeshFt+gJmvwlvvEtilK7B2c1lBsEJuF59m1faMJsb0JjwknNOnXBgoW/Lmvxq9z+N188EP/+EPr92L+rcfwOy9Ny9Mra2fF9f6palmrf2WeZ6NvLhwICkmmo2xFnGV0Gf4RJLGTGrTcIy6Ilz2x+UpZQ2vnTz6ZL4Z8yD33vw1y2/J5LebM2CffZps7/AhhzPYJPGvmGUwZw4AXy75kPPn3sbDe1VTfcD+PX6b4TPGnsHT0fbumQsr1gd+cfhx3XdceeUwrEaGq/QUVlkZ7289kLdmhHa5X4xCHCGccNa9uI44yi5wOBpfms7haP3YahGRHkAJcxv0je1LtVVN2NkbmDTyB6ZVPA/ANVsHcu+0Rzh0QTG9FmYE/mOp2R2wxNtI5hUEVd4qtsyaYa8j3YS58z9h/n1/gYICfvz9nXrXkuLtXvOz9rqISaX2LwRr+tffejq/LJc5N59D0t1RnPPL9QB88V4kt39eDqmp/Gn/C7kw+gAA8uJb3xP8+eL3CffA6ftczNDIvgDsuxHM5MmtbqsxX571Jf+3ENIuuqbBNWMMh5x0PWbqVMJc4bgGDmm2vbCQMA4dehgLUsFatAivz8ux79nj29fl/R9hs36ot9FETxTqDOWSa99kqDOFuYmVgaEoB7x6MP9OyiDr3BODHGHHWJm7ktT7Ennmp3/av0i3cAc/ERHpGpQwt0FKZAoAvjq5TagXxu5+OFxzDcTEwJDaBCo61E4kS31VnRrnjlz08gn0/WE6807ce4d1fJaPSR//iT09T7Dsnis54PNT6l0PTbTfg4HxA5n9QAGRlovVoaXgdgfq3Drjr0wOf5USpz0GOL0Yjrjj1XoTnZ78qz2M4vIDS3Fv3cJZ/zqQeTf+X7Ov4dbnTueRhU8zsBDCh4xgvwH2RL3rVyZBOyXMe/Wbwqvv+XA8/Ei7tAcwdvDeFETAlhW/MzdzLm6queNnFwPvf6bdntEdHNR3P74bCN5Z33DRs8cEyuf37pmrZ7z+27Nkh7p5ahL4TuqZvxSIiPRkSpjbYHzq+AZl01ZD8v9d3Gj9EEcI4ZaTEuNu9HpnKqws5NUtnwHwVfmSHdbbVLQpcPxC7lcNK9QZOmAcDvaIGMSP/YFFi+q0UX+S4+5bgalT65WFOms/3n3yoZN5o/AHrtv2epM7CG4r3cZ9mfbmDxFeoF8/HjjpP1ROn8tB365t317adu7xndxvCgDfrf2Wd+a+Qkg1XL77nyGyDYO4u7Fpk8+iKBz+MvsOnsv6lL7F9vv8Qd9S2LYtyNG1v+9Xfsn4LPjt1Jk4/n5vsMMREZFWUsLcBkMSh+D9m5el5efx9tswJhse+goYP36H98RYoV0iYf523beB48wYGt19cGXuSvZ+cHjg/NEh9TcX2TOTBqtPTNv9ZOb3gdzPajfm8LorATh3geGKinE8N/L6RsdFLj/XXmru9ojfAPhuELx94d47TJp/3fxr4HhDHNCvH8YYwsbv2eW3lZ7YZyJ9TRzvhK3hv3+8yvSVkHLuZcEOq9P9aeR0Jph0nult/2K2LOJa/jLsLF4ZW03eM48FObr2ZVkWi0rXMGUzRI5v+XbXIiLSdShhbiOnw8noK+/h5AFHseQpGFKAPSFmB2JMGCUOb6ObVnSmn1d9Q7gHhpWE2gnz1oYrd7wx90Wywuzk/vbiPepde+JT+HbswzCy/o50Q/vtDsDWjcsCZfmVBRyRAS/dMZ9/37+QPn97sNGYRvSfQLIVSamr9r05dfA8Kl98ttH6f2ys3ezhxp+BlJQdv+AuxmEcnDTuNGaMhK2OcvbPDofRo4MdVqdzOpx8efU8jAUXzIeYsy7gnIP+SrUDPl7S/BbmXV21r5pH3rqSs28czuf/OJ8iKhnnTrBX1hERkW5HCfPOSE+Hzz6D556DTz5psmq0Cac0lCaHGrS3z797jl9O2gsKC1mbl8GbT15KxprfGVIAA8J6sSWWRhPmZet+x1UNi8Ou5rrbvyTFE8qemXDtL3D5tW8Re8W1De5JjEgEIL88L1BW4CkmoYLGZ9vXYYxh38TdG5Q/8s09UFlZr2xV1hLu/vV+BhaAb/h/ueHz4iZ/UemKTppQO0Z795ihPX6i344kx/Sm4KpMnr7+exg5kglpE+hvxfFMfAa+jNXNN9BFWR4P//evA7lu5b95LXI10zwvA3Bg332DG5iIiLRZ98o0uqoLL4Rp05qsEuOMoCQUKC/vnJiAo7+/iH3H/g6vv87wJ0ZwRu4zzCiZy5B8SE8axOpEKN3QMDFZkLeUY1fCbmf8lZi4FLZcm8mcK5fw8JcWnHpqo88KJMz+rbMBCqrLSKik2YQZ4Kx9LmFkLnz7VhjVV+axl2sQT/fbBjNm1Ks34Vl7Hd/1CWBGj7YnWHYze/fbm0jLXkZv8oipzdTu2eIS0nDtZ6+UYozh7N3OYHZfePW6w4IcWdtYloXjvlDeLP6Zc/+AG4aeA8DAAhh99DlBjk5ERNpKCXMniQmJpCSMTkuYq7y1K3JsXPk71dSuPjCkAM495BryI+F/H9WfgFRSVcKa6hzGF4QF1op1JSRhxoxp8nmBhNljbxVuWRaFvnI7YW7BuOKTJp7N8mvWcvBv23AkJHL4hJPJigbPutrtxDcWbaQMe6jI499FwvDhO2quS3MYByvP/JV877VE3v2PYIfTpdx94pNEWSH8ZG0I7KIZDOsK1nHH3/aj+ovPWnXf1tLaT2xuWJXMxPH2L9KJFcD++7dniCIi0omUMHeSOFc0RWHAjTc2u/5xe1hfuD5w/GnOz/WuHbYG9h/3J1yWg+XlG+uNq160zV7lYnzUkFYNFahJmPOq7df23K9PUG0sevsiWz5kYtCgwBjPAb2G43PAlswVgcvfZthL0M1bdxh/mVVWb3m67qbvsD1JuOfhbv0aOoIxhn3ixjI/DViwgJzSbLbN/a7zAqisxFq7lmu/vIa7Q34mZPY0HvtTMouWz+L+h6az4Nm7mxxWtbZgLQBhXhjx7zfZ37/c4R3fA717d8YrEBGRDqCEuZMkhMaxMQ6eWPU6JTdd3eHPW5K9OHB82Sj7P/G/LU7kug19OfKeN3E6nHiMj0cme/n8ZnvzjPyKfK588SRCvTB5tyNa9byataZvmFLCxx8+wFUzr+GgdXDeBf9uU/wD4gcAsCGvtof55e//xbA8GD/9kja1Kd3DnkP2Y3EveOeLRxn0SD8GfHQw1f99o8Ofu7l4M4PvTGD6bUOoyqj9Re2aiXlM/u8h3Fw+gymb7mDBlafssI01Bfb368Ktx+OYeiip0alYN1Vy7NyGq9GIiEj3oYS5kySGJ1Dpgr8cDbdldvx//u/8/BzJZRDnrv0r/tPcYh56cRPmtNPq1Z01/337z3WzmG+2cuVs6HXN31r1PGMMg7F7mU+bcxOVeLlqa39izjy/TfGPSBoBwHdVKymqLMKyLOaXrOLIDHAcdnib2pTuYcKQ/fE64ZSIjynDTVUIfP7e/R3+3M9Wfcq6iEo+HgGfVdsJ8zmbkwGoCoG75sdhOR28vn4GVFQAkFOWw7T7duOB0/uxIWMu5394HgAD+42tbTgsDKLr74IpIiLdixLmTpLgH7IA8GtyBSxb1kTtnbO1OJOPN3/D1HWQEtUrUJ5W4K1X760p9g52PgP4fBRXFQNw+dDT621M0lK/HPgqyWVQ7t+LZI/UPZq+oQn94vox0vTizt1yGfG3ePKWzKaEKoZURSn56OH27LNnvfO4Sjh51BLWP3hLhz535aY/GpQ9eXHtpNMpVjr7xu7GtwN88OuvLNkwhyPvHcVnnqXcNHIzA9+YFJgrEDZ4WIfGKiIinUsJcydJiE4OHGfGABs37rjyTkp7LJ1yRzVD8uGWQ+8E4LkZ0Pf9r+vVO/WIaxjqjWVzLJCbS4nb/tg4JjK+Tc/tfdA0Dh51FAD7bYD+e7VuWMf2jhlub5m8LRq++Mwe2jE4os9OtSld36D4QYHjtTMG8eyRT1LpgisWP4C1uuOWm1u5ZRHjtsIlXvsXvUvmQNSQ2vXG08odjBswiVVJYK1YwWn/PYH5YXmcsgR2c8dv9yIGISIiPYcS5k4SHlvbw7wtCnzr1+10m9nFWXx8yu5Uvfk6f33mONb+845619NK4bzJF1N14Ndc+M6aBttSA/SN62cnzFu2UFJp9zDHRCU2qNdSfzvyPm74Cb7bchjmkp0ba3zz9IcCxxeUvQnA2PjuuTKGtJypM9l00LgDOeXAy3hs0t/4dKiPafeMxLepY37ZXF+yicEF8PQZb+C9zcPTL+fU+6QlLaeSAWmjKQuFvE0rWenOZNIWePOhtTzx5w8D9eIqUcIsItLDKGHuJBVhzsCx1wnnfXkZ1ty5O9XmXZ/fxLFjFnHwN//Hv7Z9xD+/uptl25YErg/xL4kcetBUGDy40TaGJAxmeTJYGzdSUl5AqBdCo9u+G9nYtPE88L88nJ99vtMbciRGJPLTuT8C4HZaXDEbBj78/E61Kd3D7BO/4OPfh9qrygCXH2GPqf98iI8T7xtP4m0uXjlxKFRXB+7JL8tly9MPBMYXt1amO4/0EiAtDaczBJLtT4V2TxgFQGJoHAMSBgLwY/4fePFx4YYkHAMHsUda7fCj3zYeBmlpbYpBRES6JiXMneSUPc/mxGVwn39UxKvjYdU7z+xUm1vz7Z62X+3lkkmsgDHP2JONjlsOR72/qNk2Jo2cSn4krFswi5KyfGLc7PwY4cREcDqbr9cCe/ffhxDL/jY9sqQ3pKa2S7vStU3e7QiO+XR1YAt2l9PF0gvtMcYfphZQ4PIyy7cGsrMD94x/fDR9s2+Cm26q19bnP7/M8ruuwKquxvLWH8dfo9JbSQEVpFWENNi+etaFPzEv9C84/vc2A+MHAvCJtRKAUbFDAIgNi+WEkLG88BGMfPrdXXb3RhGRnqrZhNkY86IxJtsYs6RO2UPGmBXGmEXGmA+MMfF1rt1sjMkwxqw0xhxRp/xIf1mGMeYmdjGx4XG8+zZc8Tvsv8Euy87KaHuDGRlszKjfQ10YXnt8wAZg7Fias+8we5jGm5s+o6S8kJgqutSkOodxsOT0H7lvwzAOO+6aYIcjQTQ6fTyTnP0D51tigMzMwPkmdw4A+Yt/B8CqqgKvl6O/Po/RPMk9r/8Zx70uPPffV9uofw3yrJIsAPqExDdIdhMiE5lw8+MweDBjUsYQYYXwYrqdqI/qOz5Q771bFnL+754WbdQjIiLdS0t6mF8GjtyubCawm2VZ44BVwM0AxpjRwGnAGP89TxljnMYYJ/AkcBQwGjjdX3eXE+OGh7+yj4s9bV+b1bwxjLmx9TdAyauzB0ZBC/fD2K3XbhxTPYTb+q3mtXUf2vd1se2mR4zYh5tfXEXotTcEOxQJst9vXovv3PWcFL9vYOz99t5iCd8t/hjH/eHMPnZCoPyO9S8B8OZbt2KVlPDPr+4m+jYHl54WzeJ3ngAgLaJXg/bqCgsJ44BY+xfRxHJIHj6+9qIxEBKycy9QRES6pGYTZsuyfgDytyv7yrKsms82fwP6+o+nA29ZllVlWdY6IAOY7P/KsCxrrWVZbuAtf91dUtxx9jrIRZ627fjnqW58p7H8OknyBfNb3t61p/4rcFwUTpfqYRapx+nEDBhA376j2BQH1ubNAHh9tUMtLj+wlIPfPxaAJ8IXN2jinOPhjemDuPrXOygLhWdGlfHK7P8A0Cem+VVY/nzwdQBM2QxMmNB0ZRER6RHaYwzz+cDn/uN0YFOda5v9ZTsqb8AYc5ExZq4xZm5OTk47hNeFfPopfPghcfc/BkCRr7xNzdQs/7a9zf5Pgu/7GgbM+L7F7R00Zho5qY/WFuxgnKdIV7H7oL0pC4XvFn0EwLMf39lovdd3t/8ctxVGFNb2/n4Tm8cIR21v8oI4e6JgWtLAZp99wvjTmTXyft498kXYa6+2vQAREelWdiphNsbcCniBdtu6zrKsZy3LmmhZ1sSUlJT2arZrOPpomD6d2DA7sy2yKtvUTFFlUeC4f6H957ErYIV/qedkVxwccECr2ky++GqWH/MFaxYcCPvs06a4RDrLaePOINRy8Pn6r1mYOZ/LF9wLwPHrGx+L9K57OiseqeLrqa8wqSqZBamQX1XIRXMh1HKwNs5HSDUk9R7Y7LONMRx06o1E/N957fmSRESkC2tzwmyMORc4BjjTsvwzZ2AL0K9Otb7+sh2V75IiQiIIsQzFbUyY1+asDBx/9RpsWXgo++5zKm5/B1qvkLZNOhq55xEM/uA7TVqSLi88JJw+zgQyo3zMWvxxoPzt5Eu556C7ATildoVFhow9EBwOpu53NlP3PoMFaZDjcpNe5qC3014VI60UHH0a/eBLRER2cW1KmI0xRwI3AMdallV3XMEM4DRjTJgxZhAwDPgdmAMMM8YMMsaEYk8MnLF9u7sKYwyxVij/2KOUf7x/TWBL6pY69M2jAsdDRu9Ln/dncuxptZuWjI0Z2m6xinRV6eEpZMbAtws+IMwL81YfTMjdf+fcPc7jgPwYHi2aAti7Tjr2r/3EZfyg2k9Q+jkS6B1qb9ST5l+DWUREZHvNTuk2xrwJHAQkG2M2A3dgr4oRBsz078r1m2VZl1iWtdQY8zawDHuoxuWWZVX727kC+BJwAi9alrW0A15Pt+E2dqf8LYsfI3PWR/z7n6tatHZxfkXt/Mu5/4GQ5Z8CMCK5dgvfQf2aX05OpLvrE9OH+XEryC1dytkLYcKTr0BEBH0j+vL9v4rBsiguzSd0zjzYc8/AfeNTxweOTzn6Or6J+Z65mWuYthqYOLHzX4iIiHR5zSbMlmWd3kjxC03Uvxe4t5Hyz4DPWhVdD/am91hKPnqX5/aE2aFr4ddfYfJkCA1t8r6M/Nq1m+NCYwKbLBhjeLvvNWQ+9yjm9MZ39RPpSdKTBvJOIoCXg0uToV+/+hWMISYmCQ45vF7x8KThPJ56HscuqCDqbzfwtPsyDnzsAs46ayokJXVa/CIi0n1o0dAgOSY3CZbA7wcP4z+xq6k+YH/eOHcPDrnpP/QdPqnReyzL4rPVtb9zROfXX5bu5PMfhvTD4NBDOzR2ka7gtInn8c9lLwJwcK+Wr1ZhjOEvF78YOI8Jj+XPN7/T7vGJiEjPoa2xgyUvD4CR6btT4YL/joVzBvzBGfdPhurqRm95f/n73PX9XQDc+BP0LrHqVzAGjjxSmyfILmGvQfvxweRHuf6PSFJPvSDY4YiISA+mhDlYTrdHuqTtY+8efvYJdvHaBGDNmkZvWbJ1IQCzn4P7vwbzyCMdHqZIV3bcUVfz4AelcPzxwQ5FRER6MCXMwXLCCWBZpA4eV684NxLc8+c0esuGLctIK4HJdzwLlgXXXNMZkYp0bfbEYxERkQ6jhDnI0qLrL2NVFQILFn3VaN0NuRkMKARGjer4wEREREQEUMIcdL2jezcou6HyY/7xyoVQWX9jk41lmQwoAgYO7JzgREREREQJc7CFOkM5YTn0KoUfX4QUt4vv4wq4Zf0L8MwzgXo+y8dGbz79i4DU1OAFLCIiIrKL0XIKXcB7H4ZBVRUAUWHR5FgF9gWrdhWMbaXbcJtqBvhitAqGiIiISCdSD3NX8O670LcvvPkmr074O65qcPqg7qJxG4o2ADAgtFdwYhQRERHZRSlh7gqOOQY2bYLTTmP/wy/krryxVDugqqIkUGVDoT9hjuoTrChFREREdklKmLua0FCi/s/ehKGsshiARdsW8Z+v7uOJT2HYqP2CGZ2IiIjILkcJcxcUFRoNQFml3cO8aNsiZpUs4pB1EH7WuUGMTERERGTXo4S5C4r2J8ylVXbCvCYvA2PBoJMuhOHDgxmaiIiIyC5HCXMXFBUaBcClkbPIKcthzZbF9C2G8N33DHJkIiIiIrserU/WBUW57IT5h/Ct9Hq4F1GEMikfGDIkuIGJiIiI7ILUw9wF1fQw1yjDza0/AhMmBCcgERERkV2Yepi7oDBnWL3zX5+HKaMOg6SkIEUkIiIisutSD3MXNDplNBfNhb5F9pbZUyYdD++/H+ywRERERHZJ6mHuglxOF//5BKoNWOedC889DNHRwQ5LREREZJekhLkLc1rACy8FOwwRERGRXZoS5q5qxgzYuDHYUYiIiIjs8pQwd1V/+lOwIxARERERNOlPRERERKRJSphFRERERJqghFlEREREpAlKmEVEREREmqCEWURERESkCUqYRURERESaoIRZRERERKQJSphFRERERJqghFlEREREpAlKmEVEREREmqCEWURERESkCUqYRURERESaoIRZRERERKQJxrKsYMewQ8aYHGBDkB6fDOQG6dmi9z/Y9P4Hn/4Ogkvvf3Dp/Q+uXfX9H2BZVkpjF7p0whxMxpi5lmVNDHYcuyq9/8Gl9z/49HcQXHr/g0vvf3Dp/W9IQzJERERERJqghFlEREREpAlKmHfs2WAHsIvT+x9cev+DT38HwaX3P7j0/geX3v/taAyziIiIiEgT1MMsIiIiItIEJczbMcYcaYxZaYzJMMbcFOx4eiJjTD9jzCxjzDJjzFJjzFX+8kRjzExjzGr/nwn+cmOMedz/d7LIGDMhuK+gZzDGOI0xfxhjPvGfDzLGzPa/z/8zxoT6y8P85xn+6wODGngPYYyJN8a8a4xZYYxZbozZWz8DnccYc7X/358lxpg3jTHh+hnoWMaYF40x2caYJXXKWv09b4w5x19/tTHmnGC8lu5oB+//Q/5/gxYZYz4wxsTXuXaz//1faYw5ok75LpknKWGuwxjjBJ4EjgJGA6cbY0YHN6oeyQtca1nWaGAKcLn/fb4J+MayrGHAN/5zsP8+hvm/LgKe7vyQe6SrgOV1zh8AHrMsayhQAFzgL78AKPCXP+avJzvvX8AXlmWNBHbH/rvQz0AnMMakA1cCEy3L2g1wAqehn4GO9jJw5HZlrfqeN8YkAncAewGTgTtqkmxp1ss0fP9nArtZljUOWAXcDOD/P/k0YIz/nqf8nSy7bJ6khLm+yUCGZVlrLctyA28B04McU49jWVaWZVnz/ccl2IlCOvZ7/Yq/2ivAcf7j6cCrlu03IN4Yk9a5Ufcsxpi+wDTgef+5AQ4B3vVX2f79r/l7eReY6q8vbWSMiQMOAF4AsCzLbVlWIfoZ6EwhQIQxJgSIBLLQz0CHsizrByB/u+LWfs8fAcy0LCvfsqwC7IRv+yRQGtHY+29Z1leWZXn9p78Bff3H04G3LMuqsixrHZCBnSPtsnmSEub60oFNdc43+8ukg/g/2twDmA30tiwry39pK9Dbf6y/l/b3T+AGwOc/TwIK6/zDWfc9Drz//utF/vrSdoOAHOAl/7CY540xUehnoFNYlrUFeBjYiJ0oFwHz0M9AMLT2e14/Cx3nfOBz/7He/+0oYZagMcZEA+8Bf7Usq7juNctevkVLuHQAY8wxQLZlWfOCHcsuLASYADxtWdYeQBm1H0UD+hnoSP6P8Kdj/+LSB4hCvZRBp+/54DHG3Io9XPKNYMfSVSlhrm8L0K/OeV9/mbQzY4wLO1l+w7Ks9/3F22o+Zvb/me0v199L+9oXONYYsx7747RDsMfTxvs/nob673Hg/fdfjwPyOjPgHmgzsNmyrNn+83exE2j9DHSOQ4F1lmXlWJblAd7H/rnQz0Dna+33vH4W2pkx5lzgGOBMq3atYb3/21HCXN8cYJh/pnQo9oD3GUGOqcfxj/17AVhuWdajdS7NAGpmPJ8DfFSn/Gz/rOkpQFGdj/CklSzLutmyrL6WZQ3E/h7/1rKsM4FZwEn+atu//zV/Lyf566sXaCdYlrUV2GSMGeEvmgosQz8DnWUjMMUYE+n/96jm/dfPQOdr7ff8l8DhxpgE/ycFh/vLpA2MMUdiD8871rKs8jqXZgCn+VeIGYQ9+fJ3duU8ybIsfdX5Ao7Gnim6Brg12PH0xC9gP+yP3RYBC/xfR2OPCfwGWA18DST66xvsWblrgMXYM9uD/jp6whdwEPCJ/3gw9j+IGcA7QJi/PNx/nuG/PjjYcfeEL2A8MNf/c/AhkKCfgU59/+8CVgBLgNeAMP0MdPh7/ib2mHEP9qcsF7Tlex57rG2G/+u8YL+u7vK1g/c/A3tMcs3/xc/UqX+r//1fCRxVp3yXzJO005+IiIiISBM0JENEREREpAlKmEVEREREmqCEWURERESkCUqYRURERESaoIRZRERERKQJSphFRERERJqghFlEREREpAlKmEVEREREmvD/C0jGAD7fU80AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# np.array(gold_data['USD (PM)'])\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.plot(prediction_g[:,0],prediction_g[:,1],color='red')\n",
    "plt.plot(gold_data['USD (PM)'],color='green')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0       1324.60\n",
       "1       1323.65\n",
       "2       1321.75\n",
       "3       1310.80\n",
       "4       1308.35\n",
       "         ...   \n",
       "1260    1821.60\n",
       "1261    1802.15\n",
       "1262    1786.00\n",
       "1263    1788.25\n",
       "1264    1794.60\n",
       "Name: USD (PM), Length: 1265, dtype: float64"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gold_data['USD (PM)']"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "b5fc3e43e814ad01a3162358639356c8d5269fa9e7a0a06af2b9cdf0ba130cad"
  },
  "kernelspec": {
   "display_name": "Python 3.8.8 64-bit",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
